Question

PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to line n. Line m is above line n. A transversal line cuts both parallel lines. The obtuse downward right angle made by the transversal line with line m is labeled as left parenthesis 8 x plus 50 right parenthesis degrees. The obtuse downward right angle made by the transversal line with line n is labeled as 130 degrees. The acute downward left angle made by the transversal line with line n is labeled as 50 degrees.

Answer 1

Answer:

$x=10$

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

$(8x+50)\°=130\°$ -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

$8x=130-50$

$8x=80$

Divide by 8 both sides

$x=80/8$

$x=10$